Results 21 to 30 of about 7,385 (153)
Monopole metrics and the orbifold Yamabe problem [PDF]
, 2010 We consider the self-dual conformal classes on n#CP^2 discovered by LeBrun. These depend upon a choice of n points in hyperbolic 3-space, called monopole points.
Viaclovsky, Jeff
core +2 more sources
Singular Yamabe and Obata Problems [PDF]
, 2020 17 pages ...
Gover, A. Rod, Waldron, Andrew
openaire +2 more sources
A Problem Concerning Yamabe-Type Operators of Negative Admissible Metrics
Journal of Applied Mathematics, 2012 This paper is about a problem concerning nonlinear Yamabe-type operators of negative admissible metrics. We first give a result on σk Yamabe problem of negative admissible metrics by virtue of the degree theory in nonlinear functional analysis and the ...
Jin Liang, Huan Zhu
doaj +1 more source
A fully nonlinear version of the Yamabe problem and a Harnack type inequality [PDF]
, 2002 We present some results on a fully nonlinear version of the Yamabe problem and a Harnack type inequality for general conformally invariant fully nonlinear second order elliptic ...
Li, Aobing, Li, Yanyan
core +4 more sources
Kodaira dimension and the Yamabe problem, II
Communications in Analysis and Geometry, 2023 25 pages ...
Albanese, Michael, LeBrun, Claude
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Evolution of relative Yamabe constant under Ricci Flow [PDF]
, 2019 Let $W$ be a manifold with boundary $M$ given together with a conformal class $\bar C$ which restricts to a conformal class $C$ on $M$. Then the relative Yamabe constant $Y_{\bar C}(W,M;C)$ is well-defined.
Botvinnik, Boris, Lu, Peng
core +1 more source
Group Actions On The Sphere And Multiplicity Results For The Cr-Yamabe Equation
Bruno Pini Mathematical Analysis Seminar, 2015 We will show that the CR-Yamabe equation has several families of infinitely many changing sign solutions, each of them having different symmetries. The problem is variational but it is not Palais-Smale: using different complex group actions on the sphere,
Vittorio Martino
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Infinitely many solutions to the Yamabe problem on noncompact manifolds [PDF]
, 2018 We establish the existence of infinitely many complete metrics with constant scalar curvature on prescribed conformal classes on certain noncompact product manifolds.
Bettiol, R., Piccione, P.
core +2 more sources
Hardy-Littlewood-Sobolev inequalities on compact Riemannian manifolds and applications
, 2015 In this paper we extend Hardy-Littlewood-Sobolev inequalities on compact Riemannian manifolds for dimension $n\ne 2$. As one application, we solve a generalized Yamabe problem on locally conforamlly flat manifolds via a new designed energy functional and
Han, Yazhou, Zhu, Meijun
core +1 more source
Generic Properties of Critical Points of the Weyl Tensor
Advanced Nonlinear Studies, 2017 Given (M,g)${(M,g)}$, a smooth compact Riemannian n-manifold, we prove that for a generic Riemannian metric g the critical points of the function 𝒲g(ξ):=|Weylg(ξ)|g2${\mathcal{W}_{g}(\xi):=\lvert\mathrm{Weyl}_{g}(\xi)\rvert^{2}_{g}}$ with 𝒲g(ξ)≠0 ...
Micheletti Anna Maria, Pistoia Angela
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